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   "source": [
    "# 导论\n",
    "\n",
    "机器学习的一个重要的目标就是利用数学模型来理解数据，发现数据中的规律，用作数据的分析和预测。数据通常由一组向量组成，这组向量中的每个向量都是一个样本，我们用$x_i$来表示一个样本，其中$i=1,2,3,...,N$,共N个样本，每个样本$x_i=(x_{i1},x_{i2},...,x_{ip},y_i)$共p+1个维度，前p个维度的每个维度我们称为一个特征，最后一个维度$y_i$我们称为因变量(响应变量)。特征用来描述影响因变量的因素，如：我们要探寻身高是否会影响体重的关系的时候，身高就是一个特征，体重就是一个因变量。通常在一个数据表dataframe里面，一行表示一个样本$x_i$，一列表示一个特征。      \n",
    "根据数据是否有因变量，机器学习的任务可分为：**有监督学习**和**无监督学习**。\n",
    "\n",
    " - 有监督学习：给定某些特征去估计因变量，即因变量存在的时候，我们称这个机器学习任务为有监督学习。如：我们使用房间面积，房屋所在地区，环境等级等因素去预测某个地区的房价。          \n",
    "   - 无监督学习：给定某些特征但不给定因变量，建模的目的是学习数据本身的结构和关系。如：我们给定某电商用户的基本信息和消费记录，通过观察数据中的哪些类型的用户彼此间的行为和属性类似，形成一个客群。注意，我们本身并不知道哪个用户属于哪个客群，即没有给定因变量。\n",
    "\n",
    "根据因变量的是否连续，有监督学习又分为**回归**和**分类**：\n",
    "   - 回归：因变量是连续型变量，如：房价，体重等。\n",
    "   - 分类：因变量是离散型变量，如：是否患癌症，西瓜是好瓜还是坏瓜等。\n",
    "\n",
    "\n",
    "回归模型可预测连续值。例如，回归模型做出的预测可回答如下问题：\n",
    "\n",
    "加利福尼亚州一栋房产的价值是多少？\n",
    "\n",
    "用户点击此广告的概率是多少？\n",
    "\n",
    "分类模型可预测离散值。例如，分类模型做出的预测可回答如下问题：\n",
    "\n",
    "某个指定电子邮件是垃圾邮件还是非垃圾邮件？\n",
    "\n",
    "这是一张狗、猫还是仓鼠图片？"
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      "You probably need to get an updated matplotlibrc file from\n",
      "https://github.com/matplotlib/matplotlib/blob/v3.3.3/matplotlibrc.template\n",
      "or from the matplotlib source distribution\n"
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   ],
   "source": [
    "#需要使用的包\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "plt.style.use(\"ggplot\")\n",
    "import seaborn as sns"
   ]
  },
  {
   "source": [
    "## 1.1 回归\n",
    "\n",
    "Boston房价数据集，返回的对象有:\n",
    "   - data:特征X的矩阵(ndarray)\n",
    "   - target:因变量的向量(ndarray)\n",
    "   - feature_names:特征名称(ndarray)"
   ],
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   "execution_count": 2,
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     "data": {
      "text/plain": [
       "      CRIM    ZN  INDUS  CHAS    NOX     RM   AGE     DIS  RAD    TAX  \\\n",
       "0  0.00632  18.0   2.31   0.0  0.538  6.575  65.2  4.0900  1.0  296.0   \n",
       "1  0.02731   0.0   7.07   0.0  0.469  6.421  78.9  4.9671  2.0  242.0   \n",
       "2  0.02729   0.0   7.07   0.0  0.469  7.185  61.1  4.9671  2.0  242.0   \n",
       "3  0.03237   0.0   2.18   0.0  0.458  6.998  45.8  6.0622  3.0  222.0   \n",
       "4  0.06905   0.0   2.18   0.0  0.458  7.147  54.2  6.0622  3.0  222.0   \n",
       "\n",
       "   PTRATIO       B  LSTAT  Price  \n",
       "0     15.3  396.90   4.98   24.0  \n",
       "1     17.8  396.90   9.14   21.6  \n",
       "2     17.8  392.83   4.03   34.7  \n",
       "3     18.7  394.63   2.94   33.4  \n",
       "4     18.7  396.90   5.33   36.2  "
      ],
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     },
     "metadata": {},
     "execution_count": 2
    }
   ],
   "source": [
    "from sklearn import datasets\n",
    "boston = datasets.load_boston()       #返回一个类似字典的类\n",
    "X = boston.data\n",
    "y = boston.target\n",
    "features = boston.feature_names\n",
    "boston_data = pd.DataFrame(X,columns=features)\n",
    "boston_data[\"Price\"] = y\n",
    "boston_data.head()"
   ]
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "#观察数据分布,散点图\n",
    "\"\"\"\n",
    "seaborn.scatterplot(x=None, y=None, hue=None,\n",
    "                    style=None, size=None, data=None, \n",
    "                    palette=None, hue_order=None, hue_norm=None,\n",
    "                    sizes=None, size_order=None, size_norm=None, \n",
    "                    markers=True, style_order=None, x_bins=None,\n",
    "                    y_bins=None, units=None, estimator=None, \n",
    "                    ci=95, n_boot=1000, alpha='auto', x_jitter=None,\n",
    "                    y_jitter=None, legend='brief', ax=None, **kwargs)\n",
    "\n",
    "\"\"\"\n",
    "sns.scatterplot(x=boston_data['NOX'],y=boston_data['Price'],color='r',alpha=0.6)\n",
    "plt.title(\"Price-NOX\")\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "数据给定任务所需要的因变量，因变量为波士顿房价Price是一个连续型变量，所以这是一个回归的例子。\n",
    "\n",
    "各个特征的相关解释：\n",
    "\n",
    "   - CRIM：各城镇的人均犯罪率\n",
    "   - ZN：规划地段超过25,000平方英尺的住宅用地比例\n",
    "   - INDUS：城镇非零售商业用地比例\n",
    "   - CHAS：是否在查尔斯河边(=1是)\n",
    "   - NOX：一氧化氮浓度(/千万分之一)\n",
    "   - RM：每个住宅的平均房间数\n",
    "   - AGE：1940年以前建造的自住房屋的比例\n",
    "   - DIS：到波士顿五个就业中心的加权距离\n",
    "   - RAD：放射状公路的可达性指数\n",
    "   - TAX：全部价值的房产税率(每1万美元)\n",
    "   - PTRATIO：按城镇分配的学生与教师比例\n",
    "   - B：1000(Bk - 0.63)^2其中Bk是每个城镇的黑人比例\n",
    "   - LSTAT：较低地位人口\n",
    "   - Price：房价"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "## 1.2 分类\n",
    "\n",
    "iris数据集\n",
    "\n",
    "Iris也称鸢尾花卉数据集，是一类多重变量分析的数据集。数据集包含150个数据样本，分为3类，每类50个数据，每个数据包含4个属性。可通过花萼长度，花萼宽度，花瓣长度，花瓣宽度，4个属性预测鸢尾花卉属于（Setosa，Versicolour，Virginica）三个种类中的哪一类。"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "   sepal length (cm)  sepal width (cm)  petal length (cm)  petal width (cm)  \\\n",
       "0                5.1               3.5                1.4               0.2   \n",
       "1                4.9               3.0                1.4               0.2   \n",
       "2                4.7               3.2                1.3               0.2   \n",
       "3                4.6               3.1                1.5               0.2   \n",
       "4                5.0               3.6                1.4               0.2   \n",
       "\n",
       "   target  \n",
       "0       0  \n",
       "1       0  \n",
       "2       0  \n",
       "3       0  \n",
       "4       0  "
      ],
      "text/html": "<div>\n<style scoped>\n    .dataframe tbody tr th:only-of-type {\n        vertical-align: middle;\n    }\n\n    .dataframe tbody tr th {\n        vertical-align: top;\n    }\n\n    .dataframe thead th {\n        text-align: right;\n    }\n</style>\n<table border=\"1\" class=\"dataframe\">\n  <thead>\n    <tr style=\"text-align: right;\">\n      <th></th>\n      <th>sepal length (cm)</th>\n      <th>sepal width (cm)</th>\n      <th>petal length (cm)</th>\n      <th>petal width (cm)</th>\n      <th>target</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>0</th>\n      <td>5.1</td>\n      <td>3.5</td>\n      <td>1.4</td>\n      <td>0.2</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>1</th>\n      <td>4.9</td>\n      <td>3.0</td>\n      <td>1.4</td>\n      <td>0.2</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>2</th>\n      <td>4.7</td>\n      <td>3.2</td>\n      <td>1.3</td>\n      <td>0.2</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>3</th>\n      <td>4.6</td>\n      <td>3.1</td>\n      <td>1.5</td>\n      <td>0.2</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>4</th>\n      <td>5.0</td>\n      <td>3.6</td>\n      <td>1.4</td>\n      <td>0.2</td>\n      <td>0</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "metadata": {},
     "execution_count": 5
    }
   ],
   "source": [
    "iris = datasets.load_iris()\n",
    "X = iris.data\n",
    "y = iris.target\n",
    "features = iris.feature_names\n",
    "iris_data = pd.DataFrame(X,columns=features)\n",
    "iris_data['target'] = y\n",
    "iris_data.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "#可视化特征\n",
    "marker = ['s','x','o']\n",
    "for index,c in enumerate(np.unique(y)):\n",
    "    plt.scatter(x=iris_data.loc[y==c,\"sepal length (cm)\"],y=iris_data.loc[y==c,\"sepal width (cm)\"],alpha=0.8,label=c,marker=marker[c])\n",
    "plt.xlabel(\"sepal length (cm)\")\n",
    "plt.ylabel(\"sepal width (cm)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "source": [
    "每种不同的颜色和点的样式为一种类型的鸢尾花，数据集有三种不同类型的鸢尾花。因此因变量是一个类别变量，因此通过特征预测鸢尾花类别的问题是一个分类问题。\n",
    "\n",
    "各个特征的相关解释：\n",
    "   - sepal length (cm)：花萼长度(厘米)\n",
    "   - sepal width (cm)：花萼宽度(厘米)\n",
    "   - petal length (cm)：花瓣长度(厘米)\n",
    "   - petal width (cm)：花瓣宽度(厘米)"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "source": [
    "## 1.3 无监督学习\n",
    "\n",
    "根据类别未知(没有被标记)的训练样本解决模式识别中的各种问题，称之为无监督学习。\n",
    "\n",
    "https://scikit-learn.org/stable/modules/classes.html?highlight=datasets#module-sklearn.datasets\n",
    "\n",
    "链接中的函数可生成数据集"
   ],
   "cell_type": "markdown",
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "output_type": "display_data",
     "data": {
      "text/plain": "<Figure size 432x288 with 1 Axes>",
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\n"
     },
     "metadata": {}
    }
   ],
   "source": [
    "# 生成月牙型非凸集\n",
    "from sklearn import datasets\n",
    "x, y = datasets.make_moons(n_samples=2000, shuffle=True,\n",
    "                  noise=0.05, random_state=None)\n",
    "for index,c in enumerate(np.unique(y)):\n",
    "    plt.scatter(x[y==c,0],x[y==c,1],s=7)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ]
}